The present work considers analysis of adhesive friction of rough surfaces using n-point asperity concept for statistical definition of surface roughness features, and accurate finite element analysis of elastic-plastic deformation of single asperity contact. The paper describes theoretical study in which whole range of deformation of an n-point asperity viz. from fully elastic, through elastic-plastic, to fully plastic is considered and the intermediate transition regime is treated analytically as well as numerically. Well defined adhesion index and plasticity index are used to study the prospective contact situations arising out of variation in material properties and surface roughness features. Using practical values of material properties and surface roughness parameters, results are obtained for normally applied load, friction force, and coefficient of friction. It is observed that the surfaces undergoing predominantly plastic type of deformation and having moderate to higher adhesion have constant coefficient of friction.

Periodical:

International Frontier Science Letters (Volume 11)

Pages:

1-28

DOI:

10.18052/www.scipress.com/IFSL.11.1

Citation:

A. K. Waghmare and P. Sahoo, "Adhesive Friction Based on Accurate Elastic-Plastic Finite Element Analysis and n-Point Asperity Concept", International Frontier Science Letters, Vol. 11, pp. 1-28, 2017

Online since:

Mar 2017

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

[1] R.D. Mindlin, Compliance of elastic bodies in contact, J. Appl. Mech. 16 (1949) 259–268.

[2] F.P. Bowden, D. Tabor, The friction and lubrication of solids, vol. 2, Oxford Univ Press, Oxford, (1964).

[3] D. Tabor, Friction - The present state of our understanding, J. Lub. Tech. 103(2) (1981) 169–179.

[4] W.R. Chang, I. Etsion, D.B. Bogy, Adhesion model for metallic rough surfaces, ASME J. Trib. 110 (1988) 50–56.

DOI: 10.1115/1.3261574[5] G.M. Hamilton, Explicit equations for the stresses beneath a sliding spherical contact, Proc. Inst. Mech. Eng. 197C (1983) 53–59.

[6] L. Kogut, I. Etsion, A finite element based elastic-plastic model for the contact of rough surfaces, Trib. Trans. 46(3) (2003) 383–390.

DOI: 10.1080/10402000308982641[7] S.K.R. Chowdhury, P. Ghosh, Adhesion and adhesional friction at the contact between solids, Wear. 174 (1994) 9–19.

DOI: 10.1016/0043-1648(94)90081-7[8] A.R. Savkoor, G.A.D. Briggs, The effect of tangential force on the contact of elastic solids in adhesion, Proc. R. Soc. Lond. A. 356 (1977) 103–114.

[9] W.R. Chang, I. Etsion, D.B. Bogy, An elastic-plastic model for the contact of rough surfaces, ASME J. Trib. 109 (1987) 257–263.

[10] D.G. Evseev, B.M. Medvedev, G.G. Grigoriyan, Modification of the elastic-plastic model for the contact of rough surfaces, Wear. 150 (1991) 79–88.

DOI: 10.1016/0043-1648(91)90307-g[11] Y. Zhao, D.M. Maietta, L. Chang, An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow, ASME J. Trib. 122(1) (2000) 86–93.

DOI: 10.1115/1.555332[12] S. Kucharski et al., Finite elements model for the contact of rough surfaces, Wear. 177 (1994) 1–13.

[13] L. Kogut, I. Etsion, Elastic-plastic contact analysis of a sphere and a rigid flat, J. Appl. Mech. 69(5) (2002) 657–662.

DOI: 10.1115/1.1490373[14] D.M. Schaefer et al., Surface roughness and its influence on particle adhesion using atomic force techniques, J. Adhesion Sc. Tech. 9(8) (1995) 1049–1062.

[15] K.L. Johnson, Adhesion and friction between a smooth elastic spherical asperity and a plane surface, Proc. R. Soc. Lond. A. 453 (1956) 163–179.

[16] Y. I. Rabinovich et al., Adhesion between nanoscale rough surfaces: I. Role of asperity geometry, J. Coll. Interface Sc. 232(1) (2000) 10–16.

[17] A. Hariri, J.W. Zu, R. Ben Mrad, n-Point asperity model for contact between nominally flat surfaces, ASME J. Trib. 128 (2006) 505–514.

DOI: 10.1115/imece2006-13720[18] A. Hariri, J.W. Zu, R. Ben Mrad, Modeling of elastic/plastic contact between nominally flat rough surfaces using an n-point asperity model, ASME J. Trib. 128 (2006) 876–885.

DOI: 10.1115/1.2345409[19] A.K. Waghmare, P. Sahoo, A study of elastic-plastic contact of rough surfaces using n-point asperity model, Procedia Mat. Sc. 5 (2014) 1716–1725.

DOI: 10.1016/j.mspro.2014.07.361[20] A.K. Waghmare, P. Sahoo, Elastic-plastic adhesive contact of rough surfaces based on accurate FEA study using n-point asperity model, Int. J. Surface Eng. and Interdisciplinary Mat. Sc. 2(2) (2014) 1–22.

DOI: 10.4018/ijseims.2014070101[21] A. K. Waghmare, P. Sahoo, Adhesive friction at the contact between rough surfaces using n-point asperity model, Engineering Science and Technology, an International Journal. 18(3) (2015) 463–474.

DOI: 10.1016/j.jestch.2015.03.006[22] A.K. Waghmare, P. Sahoo, Friction analysis at elastic-plastic contact of rough surfaces using n-point asperity model, Proc. Inst. Mech. Eng. Part J: J. Eng. Trib. 230(10) (2016) 1258–1272.

DOI: 10.1177/1350650116632018[23] P. Sahoo, A.K. Waghmare, Adhesive friction based on finite element study and n-point asperity model, J. Phys.: Conf. Series. 738 (1) (2016) 012116.

DOI: 10.1088/1742-6596/738/1/012116[24] J.A. Greenwood, J.B.P. Williamson, Contact of nominally flat surfaces, Proc. R. Soc. Lond. A. 295 (1966) 300–319.

[25] J.F. Archard, Elastic deformation and the laws of friction, Proc. R. Soc. Lond. A. 243 (1957) 190–205.

[26] J.A. Greenwood, J.J. Wu, Surface roughness and contact: an apology, Meccanica. 36(6) (2001) 617–630.

[27] K.L. Johnson, K. Kendall, A.D. Roberts, Surface energy and the contact of elastic solids, Proc. R. Soc. Lond. A. 324 (1971) 301–313.

[28] S.K.R. Chowdhury, H.M. Pollock, Adhesion between metal surfaces: The effect of surface roughness, Wear. 66 (1981) 307–321.

DOI: 10.1016/0043-1648(81)90124-1[29] D. Tabor, The Hardness of Metals, Oxford University Press, Oxford, (1951).

[30] P. Sahoo, A. Mitra, K. Saha, Elastic-plastic adhesive contact of rough surfaces using n-point asperity model, J. Physics D: Appl. Phys. 42 (2009) 1–13.

DOI: 10.1088/0022-3727/42/6/065302[31] K.L. Johnson, Adhesion at the contact of solids, in W.T. Koiter (Ed. ), 4th IUTAM Congress Proceedings on Theoretical and Applied Mechanics, Amsterdam, North-Holland, 1976, p.133–143.

[32] L. Kogut, I. Etsion, A static friction model for elastic-plastic contacting rough surfaces, ASME J. Trib. 126(1) (2004) 34–40.

DOI: 10.1115/1.1609488[33] J.A. Greenwood, J.H. Tripp, The contact of two nominally flat rough surfaces, Proc. Inst. Mech. Eng. 185 (1971) 625–633.

[34] M. O'Callaghan, M.A. Cameron, Static contact under load between nominally flat surfaces in which deformation is purely elastic, Wear. 36 (1976) 79–97.

DOI: 10.1016/0043-1648(76)90145-9[35] J.N. Israelachvili, Intermolecular and surface forces, Academic press, (2011).

[36] D.J. Whitehouse, J.F. Archard, The properties of random surfaces of significance in their contact, Proc. R. Soc. Lond. A. 316 (1970) 97–121.